Are Led's Suppose To Distort A Sub-woofer?

I tried hooking up some unused Christmas Leds to my 10 inch 200/400 Watt, 4 Ohm Sub-woofer, which was hooked to a Logitech x530 Amp, so I could get Bass reactive lighting. But, the problem is that, when I hook the Leds to the Sub, the Sub would start cutting out, when the Bass is increased. But, I need to increase the Bass, for the Leds to flash bright enough. Anyway, It sounds kind of like Clipping? But I read about Clipping, and it should only happen when the Amp that powers the Sub, can't put out enough power for it, right?... Correct me, if I'm wrong. Anyway, only when the Leds are connected, the Sub would distort, cause I also have two 200 Watt Tweeters hooked up, and I tried removing them, when the speaker distorts, from the Leds, so I could really see if it was to much power trying to be delivered, but it still distorted. This may sound stupid but, could it be something to do with the Leds not having resistors attached to them? And if it is, how would that have fixed the Sub distortion problem? Leds don't used much current at all, anyway, so I'm really confused here. Please help me out.